Momentum Conserving Model with Anomalous Thermal Conductivity in Low Dimensional Systems

Basile, Giada; Bernardin, Cédric; Olla, Stefano

doi:10.1103/physrevlett.96.204303

Cited by 172 publications

(290 citation statements)

References 13 publications

Supporting

Mentioning

276

Contrasting

Order By: Relevance

“…Theoretical predictions that the intrinsic thermal conductivity K -limited by the crystal anharmonicy alone -can diverge with the crystal size L in 2D and 1D systems, continue to ignite debates [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. Theoretical studies of the lattice thermal transport in 2D anharmonic Fermi-Pasta-Ulam (FPU) lattices [2][3], 2D…”

Section: Context Imagementioning

confidence: 99%

Anomalous Size Dependence of the Thermal Conductivity of Graphene Ribbons

2012

View full text Add to dashboard Cite

We investigated the thermal conductivity K of graphene ribbons and graphite slabs as the function of their lateral dimensions. Our theoretical model considered the anharmonic three-phonon processes to the second-order and included the angle-dependent phonon scattering from the ribbon edges. It was found that the long mean free path of the longwavelength acoustic phonons in graphene can lead to an unusual non-monotonic dependence of the thermal conductivity on the length L of a ribbon. The effect is pronounced for the ribbons with the smooth edges (specularity parameter p>0.5). Our results also suggest that -contrary to what was previously thought -the bulk-like 3D phonons in graphite can make a rather substantial contribution to its in-plane thermal conductivity. The Umklapp-limited thermal conductivity of graphite slabs scales, for L below ~ 10 m, as log(L) while for larger L, the thermal conductivity approaches a finite value following the dependence K 0 -A×L -1/2 , where K 0 and A are parameters independent of the length. Our theoretical results clarify the scaling of the phonon thermal conductivity with the lateral sizes in graphene and graphite. The revealed anomalous dependence K(L) for the micrometer-size graphene ribbons can account for some of the discrepancy in reported experimental data for graphene.

show abstract

Section: Context Imagementioning

confidence: 99%

Anomalous Size Dependence of the Thermal Conductivity of Graphene Ribbons

2012

View full text Add to dashboard Cite

show abstract

“…Following [1,2] we perturb the Hamiltonian dynamics (2.1) by introducing the random momentum exchange between the neighboring sites in such a way that the total momentum and energy of the system are conserved. This is achieved by adding to the right hand side of (2.1) a local stochastic term that conserves both…”

Section: Energy-momentum Conservingmentioning

confidence: 99%

Diffusive Propagation of Energy in a Non-acoustic Chain

Komorowski

Olla

2016

Arch Rational Mech Anal

Self Cite

View full text Add to dashboard Cite

We consider a non-acoustic chain of harmonic oscillators with the dynamics perturbed by a random local exchange of momentum, such that energy and momentum are conserved. The macroscopic limits of the energy density, momentum and the curvature (or bending) of the chain satisfy a system of evolution equations. We prove that, in a diffusive space-time scaling, the curvature and momentum evolve following a linear system that corresponds to a damped Euler-Bernoulli beam equation. The macroscopic energy density evolves following a non linear diffusive equation. In particular, the energy transfer is diffusive in this dynamics. This provides a first rigorous example of a normal diffusion of energy in a one dimensional dynamics that conserves the momentum.

show abstract

“…A further remarkable example belonging to this class is provided by the harmonic chain subject to a conservative noise, where deterministic dynamics coexist with random collisions among oscillators preserving momentum and energy. In this case, it has been rigorously proved that γ = 1/2 [19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Anomalous dynamical scaling in anharmonic chains and plasma models with multiparticle collisions

et al. 2015

View full text Add to dashboard Cite

We study the anomalous dynamical scaling of equilibrium correlations in one-dimensional systems. Two different models are compared: the Fermi-Pasta-Ulam chain with cubic and quartic nonlinearity and a gas of point particles interacting stochastically through multiparticle collision dynamics. For both models-that admit three conservation laws-by means of detailed numerical simulations we verify the predictions of nonlinear fluctuating hydrodynamics for the structure factors of density and energy fluctuations at equilibrium. Despite this, violations of the expected scaling in the currents correlation are found in some regimes, hindering the observation of the asymptotic scaling predicted by the theory. In the case of the gas model this crossover is clearly demonstrated upon changing the coupling constant.

show abstract

Momentum Conserving Model with Anomalous Thermal Conductivity in Low Dimensional Systems

Cited by 172 publications

References 13 publications

Anomalous Size Dependence of the Thermal Conductivity of Graphene Ribbons

Anomalous Size Dependence of the Thermal Conductivity of Graphene Ribbons

Diffusive Propagation of Energy in a Non-acoustic Chain

Anomalous dynamical scaling in anharmonic chains and plasma models with multiparticle collisions

Contact Info

Product

Resources

About